Research
I don't have any special talent, but I just like to find out the root of the problem. -Albert Einstein
Research interest: My primary interest lies in Analysis and Partial differential equations. More precisely, I am interested in the Calculus of Variation and Analysis of PDE models related to Fluid Mechanics and Celestial Mechanics. In addition, I hold an implicit and lukewarm interest in Optimization and Machine learning.
Publications and preprint:
#1 On the rigidity of uniformly rotating vortex patch near the Rankine vortex Yupei Huang. arXiv preprint: arXiv:2312.12711
#2 H{ö}lder convergence of singular steady states to Bahouri-Chemin patch Yupei Huang and Chilin Zhang. arXiv preprint arXiv:2311.11112
#3 Formation of singularity for the classical solutions of the rotating shallow water system." Yupei Huang and Chunjing Xie. Journal of Differential Equations 348 (2023): 45-65.
#4 Regular and Singular Steady States of 2D incompressible Euler equations near the Bahouri-Chemin Patch. Tarek, Elgindi and Yupei Huang. arXiv preprint arXiv:2207.12640 (2022).
Recent and Upcoming Talks:(not up to date; talks since April 2022)
2022 June, Workshop on Small Scale Dynamics in Fluid Motion, Stony Brook University, New York.
2023 July, Workshop on Recent Advances in PDEs,SJTU, Shanghai.
2023 July, Analysis Seminar at Chinese Academy of Science, CAS, Beijing.
2023, Sep, Graduate math conference in Triangle area, NC State, Rayleigh.
2023, Nov, Analysis Seminar at University of Auburn, University of Auburn, Auburn